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| − | '''Jyotiraditya Jadhav''' is an '''India-born Mathematician and a mathematical researcher''', who was titled "Mathematician" by '''Proof Wiki''' after publication of his impact-full formula, [[Jadhav Theorem|'''Jadhav Theorem''']]. | + | '''Jyotiraditya Abhay Jadhav''' is an India-born mathematician. |
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| − | == Researches == | + | == Contributions to Mathematics == |
| − | '''[[Jadhav Theorem]]'''
| + | * [[Jadhav Theorem]] |
| | + | * [[Jadhav Isosceles Formula]] |
| | + | * [[Jadhav Division Axiom]] |
| | + | * [[Jadhav Triads]] |
| | + | * [[Jadhav Angular Formula]] |
| | + | * [[Jadhav Prime Quadratic Theorem]] |
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| − | If any three consecutive numbers are taken say a,b and c with a constant common difference, then the difference between the square of the 2nd term (b) and the product of the first and the third term (ac) will always be the square of the common difference (d).
| + | [[Category:Mathematicians]] |
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| − | Representation of statement in variable :
| + | {{delete|lacks notability}} |
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| − | <math>b^2 - ac = d^2</math>
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| − | '''[[Jadhav Isosceles Formula]]'''
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| − | In any isosceles triangle let the length of equal sides be "s" and the angle formed between both the sides be . then the area of the complete triangle can be found by Jadhav Isosceles Formula as below:
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| − | <math>[{sin (\theta/2)}{cos( \theta /2)}{s^2}]</math>
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| − | '''[[Jadhav Division Axiom]]'''
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| − | In an incomplete division process if the dividend is '''lesser then''' Divisor into product of 10 raise to a '''power "k"''', and '''bigger then''' divisor into product of 10 with '''power "k-1"''' then there will be k number of terms before decimal point in an divisional process.
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| − | <math>d \times 10^k-1 < n < d \times 10^k</math>
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| − | '''[[Jadhav Triads]]'''
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| − | Jadhav Triads are '''groups of any 3 consecutive numbers''' which follow a pattern , was '''discovered by Jyotiraditya Jadhav''' and was named after him.
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| − | <math>\surd ac \approx b </math>
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| − | '''[[Jadhav Angular Formula]]'''
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| − | Jadhav Angular Formula evaluates the angle between any two sides of any triangle given length of all the sides.
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| − | <math>\measuredangle = \cos^-1 [{a^2+b^2-c^2}(2ab)^-1] </math>
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| − | '''[[Jadhav Prime Quadratic Theorem]]'''
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| − | It states that if a [https://en.wikipedia.org/wiki/Quadratic_equation Quadratic Equation] <math>ax^2+bx+c </math> is divided by <math>x</math> then it gives the answer as an '''[https://en.wikipedia.org/wiki/Integer Integer]''' if and only if <math>x </math> is equal to 1, [https://en.wikipedia.org/wiki/Integer_factorization Prime Factors] and [https://en.wikipedia.org/wiki/Composite_number composite] [https://en.wikipedia.org/wiki/Divisor divisor] of the constant <math>c</math> .
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| − | Let the set of [https://en.wikipedia.org/wiki/Integer_factorization prime factors] of constant term <math>c </math> be represented as <math>p.f.[c] </math> and the set of all [https://en.wikipedia.org/wiki/Composite_number composite] [https://en.wikipedia.org/wiki/Divisor divisor] of <math>c </math> be <math>d[c] </math>
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| − | <math>\frac{ax^2+bx+c}{x} \in Z </math> Iff <math>x \in </math> <math>p.f.[c] \bigcup d[c] \bigcup {1} </math> where <math>a,b,c \in Z </math>.
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| − | [[category:Mathematicians]]
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